25 citations · 58 across the 9 of their papers we have counts for
6 papers · 1 filter
A graphic formulation of non-isothermal chemical reaction systems and the analysis of detailed balanced networks
Zhou Fang, Arjan van der Schaft, Chuanhou Gao
In this paper, we provide a graphic formulation of non-isothermal reaction systems and show that a non-isothermal detailed balanced network system converges (locally) asymptoticall…
Revisiting Persistence of Chemical Reaction Networks through Lyapunov Function Partial Differential Equations
Xiaoyu Zhang, Zhou Fang, Chuanhou Gao
In this paper, we propose a novel technique, referred to as the Lyapunov Function PDEs technique, to diagnose persistence of chemical reaction networks with mass-action kinetics. T…
Complex Balancing Reconstructed to the Asymptotic Stability of Mass-action Chemical Reaction Networks with Conservation Laws
Min Ke, Zhou Fang, Chuanhou Gao
Motivated by the fact that the pseudo-Helmholtz function is a valid Lyapunov function for characterizing asymptotic stability of complex balanced mass action systems (MASs), this p…
Time-domain Boundedness of Noise-to-State Exponentially Stable Systems
Zhou Fang, Chuanhou Gao
In this paper we prove the time-domain boundedness for noise-to-state exponentially stable systems, and further make an estimation of its lower bound function, which allows to answ…
Stochastic Weak Passivity Based Stabilization of Stochastic Systems with Nonvanishing Noise
Zhou Fang, Chuanhou Gao
For stochastic systems with nonvanishing noise, i.e., at the desired state the noise port does not vanish, it is impossible to achieve the global stability of the desired state in…
Lyapunov Function Partial Differential Equations for Chemical Reaction Networks: Some Special Cases
Zhou Fang, Chuanhou Gao
In this paper, we develop a method to generate the Lyapunov function for stability analysis for chemical reaction networks. Based on the Chemical Master Equation, we derive the Lya…